Complex symplectic geometry with applications to ordinary differential operators |
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Authors: | W. N. Everitt L. Markus |
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Affiliation: | Department of Mathematics and Statistics, University of Birmingham, Birmingham B15 2TT, England, United Kingdom ; Department of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455 |
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Abstract: | Complex symplectic spaces, and their Lagrangian subspaces, are defined in accord with motivations from Lagrangian classical dynamics and from linear ordinary differential operators; and then their basic algebraic properties are established. After these purely algebraic developments, an Appendix presents a related new result on the theory of self-adjoint operators in Hilbert spaces, and this provides an important application of the principal theorems. |
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Keywords: | Ordinary linear differential operators deficiency indices symmetric boundary conditions symplectic geometry |
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